10312144000 has 128 divisors (see below), whose sum is σ = 25705995120. Its totient is φ = 4114022400.

The previous prime is 10312143983. The next prime is 10312144013. The reversal of 10312144000 is 44121301.

It can be written as a sum of positive squares in 8 ways, for example, as 602800704 + 9709343296 = 24552^2 + 98536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9231442 + ... + 9232558.

Almost surely, 2^10312144000 is an apocalyptic number.

10312144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852997560).

10312144000 is an abundant number, since it is smaller than the sum of its proper divisors (15393851120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312144000 is an equidigital number, since it uses as much as digits as its factorization.

10312144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10312144000 its reverse (44121301), we get a palindrome (10356265301).

The spelling of 10312144000 in words is "ten billion, three hundred twelve million, one hundred forty-four thousand".